Harish-Chandra Series in Finite Unitary Groups and Crystal Graphs

DOI10.1093/imrn/rnv058zbMath1361.20017arXiv1408.1210OpenAlexW1981460178MaRDI QIDQ3459117

Gerhard Hiss, Nicolas Jacon, Thomas Gerber

Publication date: 30 December 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1210

zbMATH Keywords

Iwahori-Hecke algebrabranching graphscrystal graphsHarish-Chandra series

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Modular representations and characters (20C20) Quantum groups (quantized function algebras) and their representations (20G42) Representations of finite groups of Lie type (20C33)

Related Items (13)

Weak cuspidality and the Howe correspondence ⋮ Heisenberg algebra, wedges and crystals ⋮ Categorical actions on unipotent representations of finite unitary groups ⋮ On the left connected subalgebra of the descent algebra of a Coxeter group of classical type ⋮ Alvis-Curtis duality for finite general linear groups and a generalized Mullineux involution ⋮ Categorical actions on unipotent representations of finite classical groups ⋮ Branching graphs for finite unitary groups in nondefining characteristic ⋮ On modular Harish-Chandra series of finite unitary groups ⋮ Crystal isomorphisms in Fock spaces and Schensted correspondence in affine type \(A\) ⋮ Triple crystal action in Fock spaces ⋮ Kleshchev multipartitions and extended Young diagrams ⋮ Uglov bipartitions and extended Young diagrams ⋮ Corrigendum

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